Least Common Multiple of 577/86, 753/34, 258/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/86, 753/34, 258/602 quickly i.e. 18682683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/86, 753/34, 258/602 is 18682683.

LCM(577/86, 753/34, 258/602) = 18682683

LCM of 577/86, 753/34, 258/602

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 577/86,753/34,258/602

Given numbers are 577/86,753/34,258/602

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 577,753,258

Least Common Multiple of Numerators i.e. LCM of 577,753,258 is 37365366.

GCF of Denominators means GCF of 86,34,602 as per the given fractions.

GCF of 86,34,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,753,258

LCM of Fractions 577/86,753/34,258/602 is 18682683

3 577, 753, 258
577, 251, 86

∴ So the LCM of the given numbers is 3 x 577 x 251 x 86 = 37365366

Least Common Multiple of 577,753,258 with GCF Formula

Least Common Multiple of 577,753,258 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 577,753,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,753,258) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(577,753,258) x common factors =1 x 3 = 3

LCM(577,753,258) = ( 577 × 753 × 258 ) / 3

LCM(577,753,258) = 112096098 / 3

LCM(577,753,258) = 37365366


Lets's calculate GCF of 86,34,602

2 86, 34, 602
43, 17, 301

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37365366/2

Therefore the LCM of Fractions 577/86,753/34,258/602 is 18682683

Greatest Common Factor of 86,34,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,34,602 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 86,34,602 . The biggest common factor number is the GCF number.
So the greatest common factor 86,34,602 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 577/86, 753/34, 258/602

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 577/86, 753/34, 258/602?

Answer: LCM of Numerators as per given numbers 577/86, 753/34, 258/602 is

LCM of Numerators i.e. for 577,753,258 is 37365366

GCF of denominators i.e. for 86,34,602 is 2.

Thus, LCM of Fractions is 18682683.Finally, LCM of Fractions for 577/86, 753/34, 258/602 is 18682683.